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Simplifying 24 = -2(22 + -1y) + 3(y + -4) 24 = (22 * -2 + -1y * -2) + 3(y + -4) 24 = (-44 + 2y) + 3(y + -4) Reorder the terms: 24 = -44 + 2y + 3(-4 + y) 24 = -44 + 2y + (-4 * 3 + y * 3) 24 = -44 + 2y + (-12 + 3y) Reorder the terms: 24 = -44 + -12 + 2y + 3y Combine like terms: -44 + -12 = -56 24 = -56 + 2y + 3y Combine like terms: 2y + 3y = 5y 24 = -56 + 5y Solving 24 = -56 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 24 + -5y = -56 + 5y + -5y Combine like terms: 5y + -5y = 0 24 + -5y = -56 + 0 24 + -5y = -56 Add '-24' to each side of the equation. 24 + -24 + -5y = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -5y = -56 + -24 -5y = -56 + -24 Combine like terms: -56 + -24 = -80 -5y = -80 Divide each side by '-5'. y = 16 Simplifying y = 16
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